Morita Theory for corings and cleft entwining structures

2002/06/19 by S. Caenepeel, Joost Vercruysse, Caenepeel, S. +4
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Rings, Modules, and Algebras #math.QA #math.RA #msc:16W30

paper · pdf · doi:10.48550/arxiv.math/0206198

27 pages

arxiv created 2002/06/19 · arxiv updated 2009/11/30

Abstract

Using the theory of corings, we generalize and unify Morita contexts introduced by Chase and Sweedler, Doi, and Cohen, Fischman and Montgomery. We discuss when the contexts are strict. We apply our theory corings arising from entwining structures, and this leads us to the notion of cleft entwining structure.

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